is 2 3381251 - 1
has 1017858 decimal digits
takes 0.355 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF0371D71880B37CAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.628167.6471%11270831116423001.08867.5687%18.716770.0958%2.4487%
PrimeNet2600.045463.3333%140002800000.00432.8444%0.049864.3763%1.0429%
GPU722641.052765.6250%180003200000.00521.7902%1.057966.2404%0.6154%
Difference+4+16.5754+2.0221%+1109083+111322300+1.0834+5.7785%+17.6588+3.8554%+3.8554%

Known prime factors (1 factor, 63.5 bits, 0.00187790% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3381251130125357283245264232063.4971924219131961
7 × 9733 × 28242931
2014-10-249733282429310.82660.23570.4377

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T19:18:00Carsten Kossendeydurandal15000206250---0.004--0.811%
2011-10-20T14:16:00harleeP4_260060000930000---0.016--1.881%
2014-06-26T02:26:00ANONYMOUSManual testing7898278982---0.012--0.755%
2014-10-12T23:58:00Jocelyn LaroucheManual testing9796497964---0.015--0.860%
2021-03-13T12:05:35Jocelyn LaroucheManual testing33812537193766---0.080--3.536%
2022-01-09T11:51:32Jocelyn LaroucheManual testing1127083111642300-
skipped known factor: 13012535728324526423
--1.089--7.569%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-26T05:53:00S485122USB-A260261--0.045--
2011-08-25T21:18:00Grant McCrackenthumper261262--0.091--
2022-04-24T06:27:37LordJuliusManual testing21262--0.182--
2012-11-15T00:22:00GrunwalderGIMPManual testing21263--0.472--
2022-04-24T06:27:37LordJuliusManual testing262263--0.290--
2022-04-24T06:27:37LordJuliusManual testing26326463.497200.3550.7210.720
2022-04-24T06:27:37LordJuliusManual testing264265--1.105--
2022-04-24T06:27:37LordJuliusManual testing265266--2.210--
2022-04-24T06:27:37LordJuliusManual testing266267--4.420--
2021-07-01T05:54:09Jocelyn LaroucheManual testing267268--8.840--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.318 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.318 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.879
50000500000030.439


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30T00:00:00ANONYMOUSv4_computersF0371D71880B37CA0.355


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-05T07:41:44kkmrkkblmbrbkc4.xlarge
13012535728324526423
A361B0CED4E880__no
2017-11-20T23:07:54Oliver KruseGTX-3
13012535728324526423
A361B0CED4E880__no


P-1 factor-bounds graph:
B1 = 1127083, B2 = 111642300 (P-1 stage 2)
B1 = 1127083 (P-1 stage 1)
B1 = 338125, B2 = 3719376 (P-1 stage 2)
B1 = 338125 (P-1 stage 1)
B1 = 60000, B2 = 930000 (P-1 stage 2)
B1 = 97964 (P-1 stage 1)
B1 = 78982 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2022-04-24T06:27:37+00:00